Abstract
To numerically solve a system of linear algebraic equations with a tridiagonal matrix, a recursive version of Cramer’s rule is proposed. This method requires no additional restrictions on the matrix of the system similar to those formulated for the double-sweep method. The results of numerical experiments on a large set of test problems are presented. A comparative analysis of the efficiency of the method and corresponding algorithms is given.
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Translated from Sibirskii Zhurnal Vychislitel’noi Matematiki, 2021, Vol. 24, No. 3, pp. 289-298. https://doi.org/10.15372/SJNM20210305.
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Kydyraliev, S.K., Sklyar, S.N. & Urdaletova, A.B. Solving a System of Linear Algebraic Equations with a Tridiagonal Matrix: A New Look at Cramer’s Rule. Numer. Analys. Appl. 14, 249–257 (2021). https://doi.org/10.1134/S1995423921030058
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DOI: https://doi.org/10.1134/S1995423921030058